Neutron-proton effective range parameters and zero-energy shape dependence

Physical Review C - Nuclear Physics

Volumn 73, Issue 4, 2006, Pages

  Hackenburg, R W ^a  

^a BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645571235     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.73.044002     Document Type: Article

References (63)

1. H. P. Noyes, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.2025 130, 2025 (1963).
2. V. G. J. Stoks, R. A. M. Klomp, M. C. M. Rentmeester, and J. J. de Swart, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.48.792 48, 792 (1993).
3. V. Stoks and J. J. de Swart, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.52.1698 52, 1698 (1995).
4. R. Machleidt and I. Slaus, J. Phys. G JPGPED 0954-3899 10.1088/0954-3899/27/5/201 27, R69 (2001).
5. R. B. Wiringa, V. G. J. Stoks, and R. Schiavilla, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.51.38 51, 38 (1995).
6. R. Machleidt, F. Sammarruca, and Y. Song, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.53.R1483 53, R1483 (1996).
7. S. Nakamura, T. Sato, V. Gudkov, and K. Kubodera, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.63.034617 63, 34617 (2001).
8. R. Schiavilla, V. G. J. Stoks, W. Glöckle, H. Kamada, A. Nogga, J. Carlson, R. Machleidt, V. R. Pandharipande, R. B. Wiringa, A. Kievsky, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.58.1263 58, 1263 (1998).
9. G. Q. Li and R. Machleidt, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.58.3153 58, 3153 (1998).
10. G. A. Miller, M. K. Nefkens, and I. Šlaus, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90)90102-8 194, 1 (1990).
11. S. Klarsfeld, J. Martorell, and D. W. L. Sprung, J. Phys. G JPHGBM 0305-4616 10.1088/0305-4616/10/2/008 10, 165 (1984).
12. R. Machleidt, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.63.024001 63, 24001 (2001).
13. E. Melkonian, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.76.1744 76, 1744 (1949).
14. T. L. Houk, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.3.1886 3, 1886 (1971).
15. W. Dilg, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.11.103 11, 103 (1975).
16. L. Koester, W. Waschkowski, and J. Meier, Z. Phys. A ZPAADB 0340-2193 10.1007/BF01289703 337, 341 (1990).
17. C. E. Engelke, R. E. Benenson, E. Melkonian, and J. M. Lebowitz, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.129.324 129, 324 (1963);
18. data from CINDA, file EXFOR 11118.002 and 11118.003.
19. R. Wilson, The Nucleon-Nucleon Interaction, Experimental and Phenomenological Aspects (Interscience, New York, 1963).
20. Equation (2) is not usually written as a single equation, except in Ref. [18]. Usually, one finds σd=4πp-2sin2δd, with pcotδd=-ad-1+12ρd(0,T)p2, both of which are exact.
21. H. A. Bethe, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.76.38 76, 38 (1949).
22. Occasionally in the literature there is something like ac=(3at+as)/4μ, e.g., Ref. [2], where μ is the H2 molecular mass correction, μ≈12. This is not correct. ac is defined by Eq. (8), or ac≡2(34at+14as), where the factor 2 arises because there are two indistinguishable protons. The molecular mass correction correctly occurs in the relation between the coherent cross section and ac. See Refs. [18,48].
23. L. Koester and W. Nistler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.27.956 27, 956 (1971).
24. J. Callerame, D. J. Larson, S. J. Lipson, and R. Wilson, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.12.1423 12, 1423 (1975).
25. L. Koester and W. Nistler, Z. Phys. A ZPAADB 0340-2193 10.1007/BF01408146 272, 189 (1975).
26. V. F. Sears, Z. Phys. A ZPAADB 0340-2193 10.1007/BF01411978 321, 443 (1985).
27. Nuclear Data Centers Network, CINDA, Index to the Literature and Computer Files on Microscopic Neutron Data (International Atomic Energy Agency, Vienna, Austria, 2004). Information extracted from the CINDA database, version 2004, http://www.nndc.bnl.gov/index.jsp, as of 1 September 2004.
28. A. L. Kirilyuk, A. V. Grebnev, P. N. Vorona, and N. L. Gnidak, C87KIEV2, 298 (1987);
29. data from CINDA, file EXFOR 40980.004.
30. Y. Fujita, K. Kobayashi, T. Oosaki, and R. C. Block, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(76)90521-2 A258, 1 (1976).
31. W. D. Allen and A. T. G. Ferguson, Proc. Phys. Soc. A PPSAAM 0370-1298 10.1088/0370-1298/68/11/417 68, 1077 (1955);
32. data from CINDA, file EXFOR 21364.002 and 21364.003.
33. C. D. Bailey, W. E. Bennett, T. Bergstralth, R. G. Nuckolls, H. T. Richards, and J. H. Williams, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.70.583 70, 583 (1946);
34. data from CINDA, file EXFOR 11140.002.
35. W. P. Poenitz and J. F. Whalen, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(82)90449-3 A383, 224 (1982);
36. data from CINDA, file EXFOR 12715.002.
37. E. E. Lampi, G. D. Freier, and J. H. Williams, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.80.853 80, 853 (1950);
38. data from CINDA, file EXFOR 12644.003.
39. R. E. Fields, R. L. Becker, and R. K. Adair, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.94.389 94, 389 (1954);
40. data from CINDA, file EXFOR 11073.002.
41. L. Koester, W. Waschkowski, J. Meier, G. Rau, and M. Salehi, Z. Phys. A ZPAADB 0340-2193 10.1007/BF01290124 330, 387 (1988);
42. data from CINDA, file EXFOR 22105.002.
43. C. L. Storrs and D. H. Frisch, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.95.1252 95, 1252 (1954).
44. R. B. Schwartz, R. A. Schrack, and H. T. Heaton, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(69)90281-0 B30, 36 (1969);
45. data from CINDA, file EXFOR 10005.003.
46. J. C. Davis and H. H. Barschall, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.3.1798 3, 1798 (1971);
47. data from CINDA, file EXFOR 10099.003.
48. J. M. Clement, P. Stoler, C. A. Goulding, and R. W. Fairchild, Nucl. Phys. NUPABL 0375-9474 10.1016/0375-9474(72)90930-X A183, 51 (1972);
49. data from CINDA, file EXFOR 10173.003.
50. N. Nereson and S. Darden, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.89.775 89, 775 (1953);
51. data from CINDA, file EXFOR 11060.002.
52. E. M. Hafner, W. F. Hornyak, C. E. Falk, G. Snow, and T. Coor, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.89.204 89, 204 (1952).
53. D. C. Larson, J. A. Harvey, and N. W. Hill, ORNL 5787, 174 (1980);
54. data from CINDA, file EXFOR 12882.002.
55. D. G. Foster, Jr. and D. W. Glasgow, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.3.576 3, 576 (1971);
56. data from CINDA, file EXFOR 10047.002.
57. C. F. Cook and T. W. Bonner, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.94.651 94, 651 (1954);
58. data from CINDA, file EXFOR 11074.002.
59. J. C. Davis and H. H. Barschall, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(68)90301-8 B27, 636 (1968).
60. E. G. Kessler Jr., M. S. Dewey, R. D. Deslattes, A. Henins, H. G. Börner, M. Jentschel, C. Doll, and H. Lehmann, Phys. Lett. PYLAAG 0375-9601 10.1016/S0375-9601(99)00078-X A255, 221 (1999).
61. Particle Data Group, Phys. Lett. PYLBAJ 0370-2693 10.1016/j.physletb. 2004.06.001 B592, 1 (2004).
62. L. P. Kok, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.45.427 45, 427 (1980).
63. J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (Wiley, New York, 1952).